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Finding the Third Proportional to 460,782 and 715,149

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Solution

The third proportional to 460,782 and 715,149 is: 1,109,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,782 : 715,149 = 715,149 : x
  2. Step 2: Convert to fraction form
    460,782/715,149 = 715,149/x
  3. Step 3: Cross multiply
    460,782x = 715,149 × 715,149
  4. Step 4: Simplify right side
    460,782x = 511,438,092,201
  5. Step 5: Solve for x
    x = 511,438,092,201/460,782
  6. Step 6: Final answer
    x = 1,109,935.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.